Skip to main content

On the regularity of solutions of the nonstationary Navier-Stokes equations

Part of the Lecture Notes in Mathematics book series (LNM,volume 771)

Keywords

  • Holomorphic Function
  • Evolution Operator
  • Stokes Operator
  • Integral Representation Formula
  • Banaeh Space

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. Serrin-On the interior regularity of weak solutions of the Navier-Stokes equations. Arch.Rational Mech.Anal. 9 (1962), p.187–195.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. K. Masuda-On the analyticity and the unique continuation theorem for solutions of the Na vier-Stokes equations. Proc Japan Acad., 43(1967), p.827–832.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. C. Kahane-On the spatial analyticity of solutions of the Navier-Stokes equations. Arch.Rational Mech.Anal. 33 (1969), p. 386–405.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. H. Fujita and T. Kato-On the Navier-Stokes initial value problem, I. Arch.Rational Mech.Anal., 16 (1964), p.269–315.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. K. Yosida-Functional Analysis, Grundlehren Band 123, Springer, (1965).

    Google Scholar 

  6. K. Masuda-On the regularity of nonlinear elliptic and parabolic systems of partial differential equations. (to appear).

    Google Scholar 

  7. H. Tanabe-On the equation of evolution in a Banach space. Osaka Math.J. 12 (1960), p.363–376.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Masuda, K. (1980). On the regularity of solutions of the nonstationary Navier-Stokes equations. In: Rautmann, R. (eds) Approximation Methods for Navier-Stokes Problems. Lecture Notes in Mathematics, vol 771. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086917

Download citation

  • DOI: https://doi.org/10.1007/BFb0086917

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09734-1

  • Online ISBN: 978-3-540-38550-9

  • eBook Packages: Springer Book Archive